Finding the Third Proportional to 59.16 and 128.16

Step by Step Solution

1. Step 1: Write the proportion equation
   59.16 : 128.16 = 128.16 : x
2. Step 2: Convert to fraction form
   59.16/128.16 = 128.16/x
3. Step 3: Cross multiply
   59.16x = 128.16 × 128.16
4. Step 4: Simplify right side
   59.16x = 16,424.02
5. Step 5: Solve for x
   x = 16,424.02/59.16
6. Step 6: Final answer
   x = 277.64